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Finding the Fourth Proportional to 335.42, 459.52 and 323.12

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Solution

The fourth proportional to 335.42, 459.52 and 323.12 is: 442.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.42 : 459.52 = 323.12 : x
  2. Step 2: Convert to fraction form
    335.42/459.52 = 323.12/x
  3. Step 3: Cross multiply
    335.42x = 459.52 × 323.12
  4. Step 4: Simplify right side
    335.42x = 148,480.10
  5. Step 5: Solve for x
    x = 148,480.10/335.42
  6. Step 6: Final answer
    x = 442.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.